Effect of a conducting shield on the inductance of an air-core solenoid

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作者：

Univ of South Carolina, Columbia, United States ^{[1
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来源：

IEEE Trans Magn | / 1 pt 2卷 / 508-515期

关键词：

Current density - Electric inductors - Integral equations - Magnetic flux - Magnetic permeability - Magnetostatics - Mathematical models - Method of moments - Solenoids;

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摘要：

A magnetostatic integral equation for the current induced by a solenoidal inductor in the conducting wall of a closed, perfectly conducting cylindrical shield was solved by the method of moments and point matching. The induced current was then used to determine the self inductance of the solenoid. A chart of the ratio of the shielded inductance to that in free space was produced to aid in the design of practical air-core inductors. In addition, Wheeler's well-known formula for the free-space inductance of a single-layer solenoid was shown to be sufficiently accurate to serve as a basis for the design of practical coils if the effect of the shield, available from the chart, is included.

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